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Finding the Third Proportional to 4,182 and 6,509

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Solution

The third proportional to 4,182 and 6,509 is: 10,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 6,509 = 6,509 : x
  2. Step 2: Convert to fraction form
    4,182/6,509 = 6,509/x
  3. Step 3: Cross multiply
    4,182x = 6,509 × 6,509
  4. Step 4: Simplify right side
    4,182x = 42,367,081
  5. Step 5: Solve for x
    x = 42,367,081/4,182
  6. Step 6: Final answer
    x = 10,130.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.